2017/06/10 by Fadous, Mohamed, Mabrouk, Sami, Makhlouf, Abdenacer
#17B37 #17B62 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1706.06540
The purpose of this paper is to generalize to ℤ2-graded case the study of Hom-Lie bialgebras which were discussed first by D. Yau, then by C. Bai and Y. Sheng. We provide different ways for constructing Hom-Lie superbialgebras. Also we define Matched pairs, Manin supertriples and discuss their relationships. Moreover, we study coboundary and triangular Hom-Lie bialgebras, as well as infinitesimal deformations of the cobracket.